English

AHS-structures and affine holonomies

Differential Geometry 2008-11-18 v2

Abstract

We show that a large class of non-metric, non-symplectic affine holonomies can be realized, uniformly and without case by case considerations, by Weyl connections associated to the natural AHS-structures on certain generalized flag manifolds.

Keywords

Cite

@article{arxiv.0804.1838,
  title  = {AHS-structures and affine holonomies},
  author = {Andreas Cap},
  journal= {arXiv preprint arXiv:0804.1838},
  year   = {2008}
}

Comments

AMS-LaTeX, 8 pages, v2: changes in exposition; final version; to appear in Proc. Amer. Math. Soc

R2 v1 2026-06-21T10:29:52.152Z